Details

sample43.0ms

Algorithm

intervals

Results

17.0ms

407×

body

valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.9b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
4.9b	(* (* (* z 4.0) t) a)
16.1b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

17.0ms	(* (* x 9.0) y)
20.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
52.0ms	(* (* (* z 4.0) t) a)
183.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series340.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (* x 9.0) y)
82.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
29.0ms	(* (* (* z 4.0) t) a)
206.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify71.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574

prune252.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.7b	(/ (* a t) c)
5.3b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

26.0ms	(* 9.0 (/ (* x y) (* z c)))
10.0ms	(/ (* a t) c)
7.0ms	(/ b (* z c))
12.0ms	(/ (* x y) (* z c))

series118.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
21.0ms	(/ (* a t) c)
21.0ms	(/ b (* z c))
31.0ms	(/ (* x y) (* z c))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384

prune280.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.5b	(/ a (/ c t))
5.3b	(/ b (* z c))
9.9b	(/ (* x y) (* z c))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

25.0ms	(* 9.0 (/ (* x y) (* z c)))
9.0ms	(/ a (/ c t))
11.0ms	(/ b (* z c))
13.0ms	(/ (* x y) (* z c))

series121.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ a (/ c t))
22.0ms	(/ b (* z c))
34.0ms	(/ (* x y) (* z c))

simplify76.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	634	870
1	3152	746
2	5002	746

prune475.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ (* z c) y)
4.5b	(/ a (/ c t))
5.1b	(/ x (/ (* z c) y))
5.3b	(/ b (* z c))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 160

Calls

4 calls:

9.0ms	(/ (* z c) y)
9.0ms	(/ a (/ c t))
14.0ms	(/ x (/ (* z c) y))
8.0ms	(/ b (* z c))

series102.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z c) y)
27.0ms	(/ a (/ c t))
34.0ms	(/ x (/ (* z c) y))
22.0ms	(/ b (* z c))

simplify98.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	670	935
1	3037	856
2	5002	856

prune553.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes635.0ms

Accuracy

26.2% (7.4b remaining)

Error of 7.5b against oracle of 0.1b and baseline of 10.1b

bsearch155.0ms

Steps

Iters	Range		Point
8	0.3420744994426792	6418.8922567660575	1.170881853286825
8	-4.272726594815621e+53	-9.198937099802738e+50	-1.3744304212618479e+51

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	32
1	53	32

end0.0ms

sample1.2s

Algorithm

intervals

Results

564.0ms

12752×

body

valid